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30102000 = 2435329173
BaseRepresentation
bin111001011010…
…1000111110000
32002122100011220
41302311013300
530201231000
62553105040
7513601635
oct162650760
962570156
1030102000
1115aa0095
12a0b8180
13630c546
143dd818c
1529991a0
hex1cb51f0

30102000 has 160 divisors (see below), whose sum is σ = 100975680. Its totient is φ = 7705600.

The previous prime is 30101999. The next prime is 30102031. The reversal of 30102000 is 20103.

It is a super-2 number, since 2×301020002 = 1812260808000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 30102000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173914 + ... + 174086.

It is an arithmetic number, because the mean of its divisors is an integer number (631098).

Almost surely, 230102000 is an apocalyptic number.

30102000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50487840).

30102000 is an abundant number, since it is smaller than the sum of its proper divisors (70873680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30102000 is a wasteful number, since it uses less digits than its factorization.

30102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 30102000 is about 5486.5289573646. The cubic root of 30102000 is about 311.0750052581.

Adding to 30102000 its reverse (20103), we get a palindrome (30122103).

The spelling of 30102000 in words is "thirty million, one hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 40 48 50 58 60 75 80 87 100 116 120 125 145 150 173 174 200 232 240 250 290 300 346 348 375 400 435 464 500 519 580 600 692 696 725 750 865 870 1000 1038 1160 1200 1384 1392 1450 1500 1730 1740 2000 2076 2175 2320 2595 2768 2900 3000 3460 3480 3625 4152 4325 4350 5017 5190 5800 6000 6920 6960 7250 8304 8650 8700 10034 10380 10875 11600 12975 13840 14500 15051 17300 17400 20068 20760 21625 21750 25085 25950 29000 30102 34600 34800 40136 41520 43250 43500 50170 51900 58000 60204 64875 69200 75255 80272 86500 87000 100340 103800 120408 125425 129750 150510 173000 174000 200680 207600 240816 250850 259500 301020 346000 376275 401360 501700 519000 602040 627125 752550 1003400 1038000 1204080 1254250 1505100 1881375 2006800 2508500 3010200 3762750 5017000 6020400 7525500 10034000 15051000 30102000